An entropy fixed cell‐centered Lagrangian scheme
An entropy fixed cell‐centered Lagrangian scheme
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以熵固定细胞为中心的拉格朗日方案
DOI：
10.1002/fld.3779
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Song Jiang
中科院分区：
文献类型：
--
作者：
Xihua Xu;Guoxi Ni;Song Jiang
在此基础上[p - H]。Maire， R. Abgrall， J. Breil， J. Ovadia, SIAM J. Sci。计算。29(2007),1781-1824]，我们提出了求解可压缩气体动力学欧拉方程的熵固定胞心拉格朗日格式。该方案使用气体动力学方程的完全拉格朗日形式，其中主要变量以单元为中心。利用节点求解器，得到了各节点的粘性速度、粘性压力、反耗散速度和反耗散压力。最终节点速度计算为粘性速度和反耗散速度的加权和，节点压力也是如此，而这些权重是通过等熵流的总熵守恒计算的。因此，构造的方案在质量、动量和能量上是保守的；对等熵流保持熵，对非等熵流满足局部熵不等式。给出了一维和二维数值实例，以证明该方案在精度和鲁棒性方面的理论分析和性能。版权所有©2013 John Wiley & Sons， Ltd
On the basis of the work [P.‐H. Maire, R. Abgrall, J. Breil, J. Ovadia, SIAM J. Sci. Comput. 29 (2007), 1781–1824], we present an entropy fixed cell‐centered Lagrangian scheme for solving the Euler equations of compressible gas dynamics. The scheme uses the fully Lagrangian form of the gas dynamics equations, in which the primary variables are cell‐centered. And using the nodal solver, we obtain the nodal viscous‐velocity, viscous‐pressures, antidissipation velocity, and antidissipation pressures of each node. The final nodal velocity is computed as a weighted sum of viscous‐velocity and antidissipation velocity, so do nodal pressures, whereas these weights are calculated through the total entropy conservation for isentropic flows. Consequently, the constructed scheme is conservative in mass, momentum, and energy; preserves entropy for isentropic flows, and satisfies a local entropy inequality for nonisentropic flows. One‐ and two‐dimensional numerical examples are presented to demonstrate theoretical analysis and performance of the scheme in terms of accuracy and robustness.Copyright © 2013 John Wiley & Sons, Ltd.
影响因子：
4.1
作者：
HIRT, CW;AMSDEN, AA;COOK, JL
通讯作者：
COOK, JL